I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this. Thanks.

With given N numbers only one of those numbers doesn't have pair, which one is it? After hours of surfing the net i found that XOR operator is good for that, because X xor X=0 X xor 0=X and A xor ...

Mar 25, 2016 · A friend of mine asked me how to derive the area and perimeter of a regular $n$-gon with a radius $r$ for a design project he is working on. I came up with this, but ...

How to simplify $a^n - b^n$? If it would be $(a+b)^n$, then I could use the binomial theorem, but it's a bit different, and I have no idea how to solve it. Thanks in ...

Feb 16, 2011 · I know that's an old thread but I had the same problem. I want to add a value to an existing average without having to calculate the total sum again. to add a value to an exisitng …

I am learning Regular Grammar and given the problem to convert S->S10/0 from left linear to right linear grammar. I've seen examples of such conversions where we first write the reverse product...

Apr 5, 2023 · I found this question talking about the relation between an equilateral triangle and cubics with three distinct real roots. Here's an image from the original post with an example: What this post s...

Jun 11, 2017 · I'd like to know how to solve these using euclid. I have checked some videos on youtube but I either didn't understand them or it was done without euclid.. If there is exact same question, …

Jul 9, 2017 · Given a tree, how can we find the number of "sub trees" of this tree. Following example illustrates the previous statement. eg: Consider a tree with 3 nodes and having the following edges: 0 …

A regular polygon with 12 sides (dodecagon) is inscribed in a square of area 24 square units as shown in the figure where four of the vertices are mid points of the sides of the square . The area...